Atkin-Lehner |
2+ 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650bj |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-674325000000 = -1 · 26 · 36 · 58 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-117,39541] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:128:1] [-30:139:1] |
Generators of the group modulo torsion |
j |
-625/2368 |
j-invariant |
L |
5.2437042409478 |
L(r)(E,1)/r! |
Ω |
0.72825506263864 |
Real period |
R |
0.60003064287538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1850p1 16650bv1 |
Quadratic twists by: -3 5 |